LU Decomposition using Gaussian Elimination - Applied Numerical Methods
Автор: Blake Tabian
Загружено: 2017-02-05
Просмотров: 87847
In this video we find the Lower and Upper Triangular matrices from a 4x4 square matrix using Doolittle's method. ITS SIMPLE:
Step 1:
Write out your [L] matrix with "1" on the diagonals.
Step 2:
fill in the upper elements of the lower triangular matrix with zeroes
Step 3:
With Gaussian Elimination techniques, reduce the original matrix [A] to an upper triangular.
Step 4:
Every 'factor' used to eliminate the component of interest, (aij), insert that same value with an opposite sign in the lower triangular matrix in the same component that was eliminated.
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